Chapter 12.1, Problem 27E

To determine

To find: the correction of the error in finding angle $m\angle 1$ in error analysis.

Answer to Problem 27E

  $m\angle 1={26}^0$ .

Explanation of Solution

Given:

  

Concept used:

Sum of the three angles of triangle is always ${180}^0$ .

The sum of three angle of triangle is not ${360}^0$ .

Calculation:

Here in given diagram the sum of three angle is set to be ${360}^0$ which is wrong.

Sum of the three angles of triangle is always ${180}^0$ .

  $\begin{array}{l}115+39+m\angle 1=180\\ m\angle 1=180-54=26.\end{array}$

Hence, $m\angle 1={26}^0$ .